Models Of Bovine Babesiosis Including Juvenile Cattle

Keywords

Bovine Babesiosis; Disease control strategy; Global stability; Target reproduction number

Abstract

Bovine Babesiosis in cattle is caused by the transmission of protozoa of Babesia spp. by ticks as vectors. Juvenile cattle ($$<$$<9 months of age) have resistance to Bovine Babesiosis, rarely show symptoms, and acquire immunity upon recovery. Susceptibility to the disease varies between breeds of cattle. Models of the dynamics of Bovine Babesiosis transmitted by the cattle tick that include these factors are formulated as systems of ordinary differential equations. Basic reproduction numbers are calculated, and it is proved that if these numbers are below the threshold value of one, then Bovine Babesiosis dies out. However, above the threshold number of one, the disease may approach an endemic state. In this case, control measures are suggested by determining target reproduction numbers. The percentage of a particular population (for example, the adult bovine population) needed to be controlled to eradicate the disease is evaluated numerically using Columbia data from the literature.

Publication Date

3-1-2015

Publication Title

Bulletin of Mathematical Biology

Volume

77

Issue

3

Number of Pages

514-547

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11538-015-0068-6

Socpus ID

84939940119 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84939940119

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